theorem Th1: :: GROEB_1:1

for n being Ordinal
for T being connected TermOrder of n
for L being non trivial right_complementable almost_left_invertible well-unital distributive add-associative right_zeroed associative commutative doubleLoopStr
for f, p, g being Polynomial of n,L st f reduces_to g,p,T holds
ex m being Monomial of n,L st g = f - (m *' p)